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Popular Word Problems >

Twice the difference of a number and 5 is equal to 9.

Solution

Tw i ce t h e d i ff ere n ce o f a n u mb er an d 5 i s e q u a l t o 9.

Solution

The number : 9 \frac{1}{2}

Solution steps

Represent the number with

x

A.T.Q.:

2 (x - 5) = 9

Solve for

x, 2 (x - 5) = 9 : x = \frac{19}{2}

Convert improper fractions to mixed numbers:

\frac{19}{2} = 9 \frac{1}{2}

The number : 9 \frac{1}{2}

Popular Examples

Lauren's age is half of Joe's age. Emma is seven years older than Joe. The sum of Lauren, Emma, and Joe's age is 35. How old is Joe?The radius of a circle is 6 meters. What is the circle's area?the sum of two consecutive even integers is 70. find the two integers 12 is 60% of what number thrice a number decreased by 2 exceeds twice the number unit